A construction firm bids on two different contracts. Let E, be the event that the bid on the first contract is successful, and define E, analogously for the second contract. Suppose that P(E,) = 0.3...

Extracted text: A construction firm bids on two different contracts. Let E, be the event that the bid on the first contract is successful, and define E, analogously for the second contract. Suppose that P(E,) = 0.3 and P(E,) = 0.7 and that E, and E, are independent events. (a) Calculate the probability that both bids are successful (the probability of the event E, and E,). (b) Calculate the probability that neither bid is successful (the probability of the event (not E,) and (not E,)). (c) What is the probability that the firm is successful in at least one of the two bids?